Corresponding Angles Axiom

Q.

In the given figure, $\angle ABC={65}^{\circ },\angle BCE={30}^{\circ },\angle DCE={35}^{\circ }$ and $\angle CEF={145}^{\circ }$. Prove that $AB\parallel EF$. [4 MARKS]

Q. Question 3
In the given figure, $\angle PQR=\angle PRQ$, then prove that $\angle PQS=\angle PRT.$

Q. In the figure, AB || CD and $\angle 1:\angle 2=3:2$. The measure of $\angle 8$ is ${72}^{\circ }$ .

1. True
2. False

Q. ae is the bisector of exterior \angle cad meeting bc produced in e .if ab=10 ac=6 and ce=18 then find bc.

Q. In the given figure, AB || CD. If ∠EAB = 50° and ∠ECD = 60°, then ∠AEB = _______ degrees.

1. 70

Q. In the given figure sides AB and AC of $\Delta$ABC are extended to points P and Q respectively. Also, $\angle PBC<\angle QCB$. Show that AC > AB.

Q. In the following figure, the lines are parallel to each other as shown. Find the angles p, q, r and s.

1. $p=110°,q=70°,r=70°,s=110°$
2. $p=110°,q=70°,r=110°,s=110°$
3. $p=70°,q=110°,r=70°,s=110°$
4. $p=70°,q=70°,r=70°,s=110°$

Q. In the given figure PQ || BC, $\angle 4=\angle 5$ and QB bisects $\angle PQC$. Find $\angle 1$.

1. 60

Q. In the given figure sides AB and AC of $\Delta$ABC are extended to points P and Q respectively. Also, $\angle PBC<\angle QCB$. Show that AC > AB.

Q. In the following figure, the lines are parallel to each other as shown. Find the angles p, q, r and s.

1. $p=110°,q=70°,r=70°,s=110°$
2. $p=110°,q=70°,r=110°,s=110°$
3. $p=70°,q=110°,r=70°,s=110°$
4. $p=70°,q=70°,r=70°,s=110°$

Q. In the given figure, AB || CD. If ∠EAB = 50° and ∠ECD = 60°, then ∠AEB = _______ degrees.

1. 70

Q. In the following figure, the lines are parallel to each other as shown. Find the angles p, q, r and s.

Q.

In the figure given below, prove that $p\parallel m$.